| Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
| MAT219 |
NUMERICAL ANALYSIS |
5 |
3 |
3 |
5 |
GENERAL INFORMATION |
| Language of Instruction : |
Turkish |
| Level of the Course Unit : |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
| Type of the Course : |
Compulsory |
| Mode of Delivery of the Course Unit |
- |
| Coordinator of the Course Unit |
Assist.Prof. OĞUZHAN ÖZTAŞ |
| Instructor(s) of the Course Unit |
Assist.Prof. BAHADIR KOPÇASIZ-Assist.Prof. FERHAT KÜRÜZ |
| Course Prerequisite |
No |
OBJECTIVES AND CONTENTS |
| Objectives of the Course Unit: |
To provide students with the language, logic and mathematics of numerical methods used in engineering and science, and to teach them how to use numerical methods to solve problems in a wide range of areas in science, industry and society. |
| Contents of the Course Unit: |
Definition of Numerical Analysis and especially its use in engineering applications. Error analysis in numerical methods, analytical solutions, solutions of linear and nonlinear equation systems, approximation methods, interpolation, linear regression, numerical integration. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
| Students taking this course will; I. Understand the fundamentals of numerical analysis. II. Have the ability to use numerical methods in the analysis of a problem in engineering. III. Have the ability to choose the right solution method for a particular topic. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
| Week |
Preparatory |
Topics(Subjects) |
Method |
| 1 |
- |
Introduction, Errors in Numerical Operations |
- |
| 2 |
- |
Matrix, Solutions of Linear Equation Systems, Introduction |
- |
| 3 |
- |
Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method |
- |
| 4 |
- |
Direct Methods II: Cholesky Method |
- |
| 5 |
- |
Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions |
- |
| 6 |
- |
Nonlinear Equations I: Finding the Root Interval, Bisection Method |
- |
| 7 |
- |
Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method |
- |
| 8 |
- |
MID-TERM EXAM |
- |
| 9 |
- |
Approximation Method I: Interpolation, Interpolation Polynomials |
- |
| 10 |
- |
Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation |
- |
| 11 |
- |
Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods |
- |
| 12 |
- |
Numerical Derivativaton II: First and second order derivatives |
- |
| 13 |
- |
Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas |
- |
| 14 |
- |
Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis |
- |
| 15 |
- |
An overview |
- |
| 16 |
- |
FINAL EXAM |
- |
| 17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
| An Introduction to Numerical Methods and Analyses, James F. Epperson, John
Wiley and Sons, 2001, ISBN:0471316474. |
| Sayısal Çözümleme, R. Tapramaz, Literatür yayıncılık, 2002, ISBN:0130126411 |
| Nümerik Analiz, İ. uzun, Beta yayınları, 2004, 4. ISBN:9754869529 |
| Mühendisler için sayısal yöntemler, Chaapra, S., C., Canale, R., P., Literatür
Kitabevi, 2003, ISBN:0130126411. |
ASSESSMENT |
| Assessment & Grading of In-Term Activities |
Number of Activities |
Degree of Contribution (%) |
Description |
| Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE |
Theoretical |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.
|
|
1 |
|
|
|
|
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.
|
|
|
|
|
|
5 |
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.
|
0 |
|
|
|
|
|
| 2 |
Designs a computer-aided conceptual model with modern techniques.
|
0 |
|
|
|
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.
|
0 |
|
|
|
|
|
| 2 |
Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
|
0 |
|
|
|
|
|
| 3 |
Determines and uses the necessary information technologies in an efficient way for engineering applications.
|
0 |
|
|
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
|
0 |
|
|
|
|
|
| 2 |
Possess the ability to conduct effective individual study.
|
|
|
|
|
|
5 |
| 3 |
Takes responsibility as a team work and contributes in an effective way.
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Monitors the developments in the field of information technologies by means of internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.
|
0 |
|
|
|
|
|
| 2 |
Develops positive attitude towards lifelong learning.
|
|
|
2 |
|
|
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Communicates effectively by oral and/or written form and uses at least one foreign language.
|
0 |
|
|
|
|
|
| 2 |
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
|
0 |
|
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
| 0 |
1 |
2 |
3 |
4 |
5 |
| 1 |
Possess professional and ethical responsibility and willingness to share it.
|
|
1 |
|
|
|
|
| 2 |
Possess sufficient consciousness about the universality of engineering solutions and applications and be well aware of the importance of innovation.
|
|
|
|
3 |
|
|
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
Workload for Learning & Teaching Activities |
| Type of the Learning Activites |
Learning Activities (# of week) |
Duration (hours, h) |
Workload (h) |
| Lecture & In-Class Activities |
14 |
3 |
42 |
| Preliminary & Further Study |
14 |
1 |
14 |
| Land Surveying |
0 |
0 |
0 |
| Group Work |
0 |
0 |
0 |
| Laboratory |
0 |
0 |
0 |
| Reading |
0 |
0 |
0 |
| Assignment (Homework) |
0 |
0 |
0 |
| Project Work |
0 |
0 |
0 |
| Seminar |
0 |
0 |
0 |
| Internship |
0 |
0 |
0 |
| Technical Visit |
0 |
0 |
0 |
| Web Based Learning |
0 |
0 |
0 |
| Implementation/Application/Practice |
14 |
1 |
14 |
| Practice at a workplace |
0 |
0 |
0 |
| Occupational Activity |
0 |
0 |
0 |
| Social Activity |
0 |
0 |
0 |
| Thesis Work |
0 |
0 |
0 |
| Field Study |
0 |
0 |
0 |
| Report Writing |
0 |
0 |
0 |
| Final Exam |
1 |
1 |
1 |
| Preparation for the Final Exam |
1 |
30 |
30 |
| Mid-Term Exam |
1 |
2 |
2 |
| Preparation for the Mid-Term Exam |
1 |
20 |
20 |
| Short Exam |
0 |
0 |
0 |
| Preparation for the Short Exam |
0 |
0 |
0 |
| TOTAL |
46 |
0 |
123 |
|
Total Workload of the Course Unit |
123 |
|
|
Workload (h) / 25.5 |
4,8 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|